Fonctions $L$ $p$-adiques à deux variables et ${\bbfZ}_2^p$-extensions

DOI10.24033/bsmf.2045zbMath0606.14024OpenAlexW2295267612MaRDI QIDQ3744291

Jacques Tilouine

Publication date: 1986

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1986__114__3_0

zbMATH Keywords

elliptic curvegroup of rational pointscomplex multiplicationp-adic L-function

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and abelian varieties (14K22) Zeta functions and (L)-functions (11S40) Global ground fields in algebraic geometry (14G25)

Related Items (2)

On the anticyclotomic main conjecture ⋮ Unnamed Item

Cites Work

• \(p\)-adic measures on Galois groups
• On the extensions of local fields generated by the torsion points of some formal groups
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• On two variable p-adic L-functions
• \(p\)-adic interpolation of real analytic Eisenstein series
• On the conjecture of Birch and Swinnerton-Dyer
• Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
• Formal complex multiplication in local fields
• One-parameter formal Lie groups over p-adic integer rings
• Good reduction of abelian varieties
• On the zeta-function of an abelian variety with complex multiplication
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• On the Birch and Swinnerton-Dyer conjecture
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